1/1×3+1/3×5+1/5×7······﹢1/47×49

2024-12-29 09:52:46
推荐回答(1个)
回答1:

1/1×3+1/3×5+1/5×7······﹢1/47×49
=1/2×(1-1/3)+1/2×(1/3-1/5)+...+1/2×(1/47-1/49)
=1/2×(1-1/'3+1/3-1/5+1/5-1/7+...+1/47-1/49)
=1/2×(1-1/49)
=24/49